453,600 ways
Step-by-step explanation:
In the 10-letter word of REPETITION (n=10), there is 2 letter Es (p=2), 2 Ts (q=2), 2 Is (r=2). Thus this letter can be arranged in,
REPETITION (EE)(TT)(II)
n=10
p=2
q=2
r=2
10×9×8×7×6×5×4×3×2×1
__________________________
(2×1)(2×1)(2×1)
= 3,628,800
__________
8
= 453,600 ways
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453,600 ways
Step-by-step explanation:
In the 10-letter word of REPETITION (n=10), there is 2 letter Es (p=2), 2 Ts (q=2), 2 Is (r=2). Thus this letter can be arranged in,
REPETITION (EE)(TT)(II)
n=10
p=2
q=2
r=2
10!/ (2!)(2!)(2!)
10×9×8×7×6×5×4×3×2×1
__________________________
(2×1)(2×1)(2×1)
= 3,628,800
__________
8
= 453,600 ways